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d1i1m1o1n [39]
3 years ago
5

Find the slope of the line throught each points (-19,1),(-1,-14)​

Mathematics
1 answer:
telo118 [61]3 years ago
4 0

Answer:

\large\boxed{m=-\dfrac{5}{6}}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-19, 1) and (-1, -14). Substitute:

m=\dfrac{-14-1}{-1-(-19)}=\dfrac{-15}{18}=-\dfrac{15}{18}=-\dfrac{5}{6}

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Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.

============================================================

Explanation:

Note how x is decreasing by 3 each time

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At the same time, y is also decreasing by 3 each time

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This means we have a linear function. We have,

slope = (change in y)/(change in x)

slope = (-3)/(-3)

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Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.

----------------

Another way to find the slope is to pick any two points from the table and use the slope formula

m = (y2 - y1)/(x2 - x1)

You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.

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Step-by-step explanation:

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